Log and Exponential Functions Review

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A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1.03)^x
• f(x)=400(0.03)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

What is the principle? ​ (a)  

What is the rate? ​ (b)  

What is the time? ​ (c)  

• $5,000
• 5%
• 3 years

Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

Mathematical Equivalence

ON

• $300
• 6%
• 5 years

Maria deposits $300 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 5 years?

Mathematical Equivalence

ON